SOLUTION: State the domain of the following: {{{f(x)= sqrt(x-8)}}}

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Question 116795: State the domain of the following:


Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
Given:
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to find the domain of x, you recognize that you can't get a real answer if you take the
square root of a negative number. There is no real number that can be multiplied by itself to
result in a negative number because of the algebraic rule that says if two numbers have the same
sign, their product is positive.
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This tells us that (x - 8) must be equal to or greater than zero so that you are taking
the square root of 0 or of positive numbers.
.
In equation form we can write:
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Solve for x by adding 8 to both sides of this inequality to get:
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This tells you that the domain of x is all real numbers equal to or greater than 8.
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Hope this helps you to understand the problem.
.

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